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Author Li, Huishi.
Title Noncommutative Grobner bases and filtered-graded transfer / Huishi Li.
Imprint Berlin ; New York : Springer, 2002.

LOCATION CALL # STATUS MESSAGE
 OHIOLINK SPRINGER EBOOKS    ONLINE  
View online
LOCATION CALL # STATUS MESSAGE
 OHIOLINK SPRINGER EBOOKS    ONLINE  
View online
Series Lecture notes in mathematics, 0075-8434 ; 1795.
Lecture notes in mathematics (Springer-Verlag) ; 1795.
Subject Algebra -- Data processing.
Associative rings -- Data processing.
Filtered rings.
Gröbner bases.
Alt Name Ohio Library and Information Network.
Description 1 online resource (ix, 197 pages).
Bibliography Note Includes bibliographical references and index
Contents Introduction -- Chapter I: Basic Structural Tricks and Examples -- Chapter II: Grbner Bases in Associative Algebras -- Chapter III: Grbner Bases and Basic Algebraic-Algorithmic Structures -- Chapter IV: Filtered-Graded Transfer of Grbner Bases -- Chapter V: GK-dimension of Modules over Quadric Solvable Polynomial Algebras and Elimination of Variables -- Chapter VI: Multiplicity Computation of Modules over Quadric Solvable Polynomial Algebras -- Chapter VII: (partial- )Holonomic Modules and Functions over Quadric Solvable Polynomial Algebras -- Chapter VII: Regularity and Ko-group of Quadric Solvable Polynomial Algebras -- References -- Index.
Access Available to OhioLINK libraries
Summary This self-contained monograph is the first to feature the intersection of the structure theory of noncommutative associative algebras and the algorithmic aspect of Groebner basis theory. A double filtered-graded transfer of data in using noncommutative Groebner bases leads to effective exploitation of the solutions to several structural-computational problems, e.g., an algorithmic recognition of quadric solvable polynomial algebras, computation of GK-dimension and multiplicity for modules, and elimination of variables in noncommutative setting. All topics included deal with algebras of (q- )differential operators as well as some other operator algebras, enveloping algebras of Lie algebras, typical quantum algebras, and many of their deformations.
Reproduction Electronic reproduction. Columbus, OH : OhioLINK, 2008.
System Details Mode of access: World Wide Web
ISBN 3540441964 (softcover : acid-free paper)
9783540441960 (softcover : acid-free paper)
OCLC # 686069981
Link OhioLINK electronic book center (OCoLC)180989150.
SpringerLink (OCoLC)43927870.
Additional Format Print version:Li, Huishi. Noncommutative Grobner bases and filtered-graded transfer (OCoLC)50425129.